3. You are given the following information on Events A, B, C, and D.
P(A) = .4 P(A D) = .6
P(B) = .2 P(AB) = .3
P(C) = .1 P(A C) = .04
P(A D) = .03
a. Compute P(D).
b. Compute P(A B).
c. Compute P(AC).
d. Compute the probability of the complement of C.
e. Are A and B mutually exclusive? Explain your answer.
f. Are A and B independent? Explain your answer.
g. Are A and C mutually exclusive? Explain your answer.
h. Are A and C independent? Explain your answer.